EC1252 Signals and Systems Syllabus

AIM
To study and analyse characteristics of continuous, discrete signals and systems.

OBJECTIVES
• To study the properties and representation of discrete and continuous signals.
• To study the sampling process and analysis of discrete systems using z-transforms.
• To study the analysis and synthesis of discrete time systems.

UNIT I REPRESENTATION OF SIGNALS 9
Continuous and discrete time signals: Classification of Signals – Periodic aperiodic even – odd – energy and power signals – Deterministic and random signals – complex exponential and sinusoidal signals – periodicity – properties of discrete time complex exponential unit impulse – unit step impulse functions – Transformation in independent variable of signals: time scaling, time shifting.
Determination of Fourier series representation of continuous time and discrete time periodic signals – Explanation of properties of continuous time and discrete time Fourier series.

UNIT II ANALYSIS OF CONTINUOUS TIME SIGNALS AND SYSTEMS 9
Continuous time Fourier Transform and Laplace Transform analysis with examples – properties of the Continuous time Fourier Transform and Laplace Transform basic properties, Parseval’s relation, and convolution in time and frequency domains.
Basic properties of continuous time systems: Linearity, Causality, time invariance, stability, magnitude and Phase representations of frequency response of LTI systems -Analysis and characterization of LTI systems using Laplace transform:
Computation of impulse response and transfer function using Laplace transform.